Simplify into a single logarithm.

Answer and explanation

Correct answer: C.

  1. Step 1: The power law gives . Step 2. The addition law gives . **Answer: . Why not the others:** ignores the power law; adding inside the log would need multiplication of the arguments.

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Simplify 3 log a + log b… | A-Level UK (AQA, Edexcel, OCR)